On the weak solution of a three-point boundary value problem for a class of parabolic equations with energy specification.
Bouziani, Abdelfatah (2003)
Abstract and Applied Analysis
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Displaying similar documents to “Global existence and blow-up analysis for some degenerate and quasilinear parabolic systems.”
On the weak solution of a three-point boundary value problem for a class of parabolic equations with energy specification.
Convergence of Rothe's method in Hölder spaces
Norio Kikuchi, Jozef Kačur (2003)
Applications of Mathematics
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The convergence of Rothe’s method in Hölder spaces is discussed. The obtained results are based on uniform boundedness of Rothe’s approximate solutions in Hölder spaces recently achieved by the first author. The convergence and its rate are derived inside a parabolic cylinder assuming an additional compatibility conditions.
On -convergence of Rothe’s method
Jozef Kačur (1989)
Commentationes Mathematicae Universitatis Carolinae
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On the finite dimension of attractors of doubly nonlinear parabolic systems with l-trajectories
Hamid El Ouardi (2007)
Archivum Mathematicum
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This paper is concerned with the asymptotic behaviour of a class of doubly nonlinear parabolic systems. In particular, we prove the existence of the global attractor which has, in one and two space dimensions, finite fractal dimension.
Existence and attractors of solutions for nonlinear parabolic systems.
El Hachimi, A., El Quardi, H. (2001)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Recovery of an unknown flux in parabolic problems with nonstandard boundary conditions: Error estimates
Marián Slodička (2003)
Applications of Mathematics
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In this paper, we consider a 2nd order semilinear parabolic initial boundary value problem (IBVP) on a bounded domain , with nonstandard boundary conditions (BCs). More precisely, at some part of the boundary we impose a Neumann BC containing an unknown additive space-constant , accompanied with a nonlocal (integral) Dirichlet side condition. We design a numerical scheme for the approximation of a weak solution to the IBVP and derive error estimates for the approximation of the solution...